What is the value of sin 120°?

Answer:√3/2

From trignometric formula

Sin (90 + x) = cos x

So sin 120° can be written as

Sin (90°+ 30°) = cos 30°

Sin Values

sin 0° = √(0/4) = 0

sin 30° = √(1/4) = ½

sin 45° = √(2/4) = 1/√2

sin 60° = √3/4 = √3/2

cos 90° = √(4/4) = 1

Cos Values

cos 0° = √(4/4) = 1

cos 30° = √(3/4) = √3/2

cos 45° = √(2/4) = 1/√2

cos 60° = √(1/4) = 1/2

cos 90° = √(0/4) = 0

From the above list of cos value

Cos 30° = √3/2

So

Sin (120°) = Sin (90°+ 30°) = cos 30° = √3/2

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